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Finding the Third Proportional to 4,948,046.25 and 6,967,809

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Solution

The third proportional to 4,948,046.25 and 6,967,809 is: 9,812,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948,046.25 : 6,967,809 = 6,967,809 : x
  2. Step 2: Convert to fraction form
    4,948,046.25/6,967,809 = 6,967,809/x
  3. Step 3: Cross multiply
    4,948,046.25x = 6,967,809 × 6,967,809
  4. Step 4: Simplify right side
    4,948,046.25x = 48,550,362,260,481
  5. Step 5: Solve for x
    x = 48,550,362,260,481/4,948,046.25
  6. Step 6: Final answer
    x = 9,812,026.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.